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Finding the Fourth Proportional to 423.12, 632.31 and 399.72

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Solution

The fourth proportional to 423.12, 632.31 and 399.72 is: 597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.12 : 632.31 = 399.72 : x
  2. Step 2: Convert to fraction form
    423.12/632.31 = 399.72/x
  3. Step 3: Cross multiply
    423.12x = 632.31 × 399.72
  4. Step 4: Simplify right side
    423.12x = 252,746.95
  5. Step 5: Solve for x
    x = 252,746.95/423.12
  6. Step 6: Final answer
    x = 597.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.